Then for store/production instances you just need
lockServerAddress=localhost (or server hostname where the lock manager is located)
ClientLockManager_production.properties is only needed for publishing application or other applications that communicate with other clusters. The production, or staging is usually to provide publishing each cluster's lock manager information for file and repository asset deployment purposes.
Usually if you only have 1 instances running you point to itself for lock management. If you have cluster - you should have separate instance to play the role of lock management. Each cluster group needs its own lock manager. stores/production cluster, staging instance or cluster, publishing instance or cluster.